The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021 - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

An asymptotically safe guide to quantum gravity and matter

A Eichhorn - Frontiers in Astronomy and Space Sciences, 2019 - frontiersin.org
Asymptotic safety generalizes asymptotic freedom and could contribute to understanding
physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet …

Solving the 3d Ising Model with the Conformal Bootstrap II. -Minimization and Precise Critical Exponents

S El-Showk, MF Paulos, D Poland, S Rychkov… - Journal of Statistical …, 2014 - Springer
We use the conformal bootstrap to perform a precision study of the operator spectrum of the
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …

Asymptotic safety guaranteed

DF Litim, F Sannino - Journal of High Energy Physics, 2014 - Springer
A bstract We study the ultraviolet behaviour of four-dimensional quantum field theories
involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime …

Fermion interactions and universal behavior in strongly interacting theories

J Braun - Journal of Physics G: Nuclear and Particle Physics, 2012 - iopscience.iop.org
The theory of the strong interaction, quantum chromodynamics (QCD), describes the
generation of hadronic masses and the state of hadronic matter during the early stages of …

Further evidence for asymptotic safety of quantum gravity

K Falls, D Litim, K Nikolakopoulos, C Rahmede - Physical Review D, 2016 - APS
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using
the renormalization group, we find evidence for an interacting UV fixed point for polynomial …

Asymptotic safety of quantum gravity beyond Ricci scalars

K Falls, CR King, DF Litim, K Nikolakopoulos… - Physical Review D, 2018 - APS
We investigate the asymptotic safety conjecture for quantum gravity including curvature
invariants beyond Ricci scalars. Our strategy is put to work for families of gravitational …

Aspects of asymptotic safety for quantum gravity

KG Falls, DF Litim, J Schröder - Physical Review D, 2019 - APS
We study fixed points of quantum gravity with renormalization group methods and a
procedure to remove convergence-limiting poles from the flow. The setup is tested within the …

Renormalization group and the Planck scale

DF Litim - … Transactions of the Royal Society A …, 2011 - royalsocietypublishing.org
Renormalization group and the Planck scale | Philosophical Transactions of the Royal Society
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Search of scaling solutions in scalar–tensor gravity

R Percacci, GP Vacca - The European Physical Journal C, 2015 - Springer
We write new functional renormalization group equations for a scalar nonminimally coupled
to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are …